When the equation a – bx = cx + d is solved for x, the result is x = startfraction a. minus b. over c. plus d. endfractionuse the general solution to solve 5 – 6x = 8x + 17.
The solution to the equation 5 – 6x = 8x + 17 is x = -6.
Using the general solution for linear equations, we can rewrite the given equation as x = (a - d)/(c + b). This means that the solution for x is equal to the fraction (a - d) divided by (c + b).
Now let's use this general solution to solve the equation 5 – 6x = 8x + 17. First, we need to identify the values of a, b, c, and d in the equation. From the given equation, we can see that a = 5, b = -6, c = 8, and d = 17.
Next, we can substitute these values into the general solution and simplify:
x = (a - d)/(c + b)
x = (5 - 17)/(8 - 6)
x = -12/2
x = -6
To know more about equation here
https://brainly.com/question/10413253
#SPJ4
Answer:-6/7
Step-by-step explanation: got it right on ed
you need to study the satisfaction of customers of a specific restaurant. you decide to randomly select one customer at each table. this would most closely describe which type of sampling technique?
Systematic sampling is the term used to describe the sampling method portrayed in the scenario.
Systematic sampling is a form of probability sampling technique in which a researcher randomly selects a beginning point before selecting every nth item from the target population. The researcher is choosing one consumer at each table in this case, which can be interpreted as choosing every nth customer, where n is the average number of customers per table.
When the researcher wants to select a sample from a pre-defined list and the target population is broad and diverse, systematic sampling is a beneficial strategy. Because it takes less time and resources to choose the sample, it is also a more effective strategy than simple random sampling.
It is crucial to remember that systematic sampling might induce bias if the process of selection follows a pattern or is regular. For instance, bias could be introduced if the researcher only chooses consumers at tables with even numbers, producing a non-representative sample. To eliminate bias and get a representative sample, it is crucial to ensure that the selection procedure is truly random.
Learn more about sampling here:
https://brainly.com/question/14546338
#SPJ4
an urn initially contains 5 white and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 other balls of the same color. compute the probability that
To compute the probability of selecting a certain number of white or black balls from the urn after a certain number of trials, we can use the concept of conditional probability. This involves finding the probability of an event given that another event has occurred.
where P(W_n+1 = k | W_n = j, B_n = m) is the conditional probability of selecting k white balls in the (n+1)th trial, given that there are j white balls and m black balls in the urn after the nth trial.
P(W_n+1 = k | W_n = j) is the probability of selecting k white balls in the (n+1)th trial, given that there are j white balls in the urn after the nth trial. P(W_n = j, B_n = m) is the joint probability of having j white balls and m black balls in the urn after the nth trial. P(B_n = m) is the probability of having m black balls in the urn after the nth trial.
Using the above equation and the fact that the urn initially contains 5 white and 7 black balls, we can compute the probabilities of selecting a certain number of white or black balls after any number of trials. For example, after 10 trials, the probability of having 7 white balls and 9 black balls in the urn is approximately 0.055.
After 50 trials, the probability of having more white balls than black balls in the urn is approximately 0.989. This indicates that over time, the number of white balls in the urn will tend to dominate the number of black balls.
Overall, the probabilities of selecting white or black balls from the urn after a certain number of trials can be computed using conditional probability. As the number of trials increases, the distribution of white and black balls in the urn will tend to shift towards more white balls due to the replacement process.
For more details about probability click here:
https://brainly.com/question/30034780#
#SPJ11
WILL GIVE BRAINLY
If sin (x) =3 cos(x), then what is sin(x) times cos (x)?
Answer:
3cos²x
Step-by-step explanation:
sinx = 3cosx [1]
(sinx)(cosx) [2]
sub 1 into 2:
(3cosx)(cosx)
= 3cos²x
Answer:
3/10?
Hope it's correct. :)
The difference between numbers tell you how far apart they are on the number line 8 and -16 our units apart because 8 -6 = 14
The answer of the given question based on the number line is the difference between 8 and -16 is not 14, it is 24. and 8 and -16 are 24 units apart on the number line.
What is the use of number line?A number line is a visual representation of the real number system, where numbers are placed in order from left to right, with zero in the center. The number line is an important mathematical tool used in a variety of ways, including:
Understanding and comparing numbers: By plotting numbers on a number line, we can visually see the relative size and position of numbers in relation to each other.
Performing arithmetic operations: The number line can be used to add, subtract, multiply, and divide numbers.
Graphing functions: The number line can be used as the horizontal axis of a graph to plot functions and other mathematical relationships.
Actually, the difference between 8 and -16 is not 14, it is 24.
To find the difference between two numbers on a number line, you need to subtract the smaller number from the larger number. In this case, 8 is larger than -16, so we subtract -16 from 8:
8 - (-16) = 8 + 16 = 24
Therefore, 8 and -16 are 24 units apart on the number line.
To know more about Real number system visit:
https://brainly.com/question/30093910
#SPJ1
PLEASE HELP FAST
A Girl Scout is selling cookies to raise money for her troop. She is given a certain number of cookies to sell and is tracking the number of boxes remaining each day. The table shows the relationship between the number of days she has been selling cookies and the total number of boxes remaining.
Girl Scout Cookie Fundraiser
Time (in days) 1 3 4 7
Number of Boxes 25 19 16 7
Which of the following graphs shows the relationship given in the table?
A. a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 25 and 2 comma 19
B. a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 28 and 2 comma 22
C. a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 25 and 2 comma 13
D .a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 28 and 2 comma 16
the right option is B.) a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 28 and 2 comma 22
What is a linear function?A linear function is a polynomial function whose degree is utmost zero or one. It is represented as a straight line in the graph.
The corresponding graph for the given data is a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points (1,25), (3,19), (4,16) and (7,7)
Time(in days) - Number of boxes
1 25
3 19
4 16
7 7
This forms a straight line.
By critically observing the graph and relationship between the time and number of boxes, we determine a function for the graph.
That is y=--3x+28
Putting x=0, we get
y=-3(0)+28=28
Putting x=2, we get
y=-3(2)+28
y=22
hence,. a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points 0 comma 28 and 2 comma 22
The diagram is attached below.
to know more about polynomial, visit:
https://brainly.com/question/11536910
#SPJ1
your chronometer is set for greenwich mean time (gmt or universal time, ut). high noon at your present location is 9 pm ut. what is your longitude?
Your longitude in DMS is 135 degree. So the option D is correct.
This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).
As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.
9 hours = 9 × 60 minutes = 540 minutes
Now, we know that:
Every four minutes, the Earth turns one degree.
Thus, 1-degree longitude difference = 4 minutes
Or, 4 minutes of time difference = 1 degree of longitude
Or, 1 minute of time difference = 1/4 degree of longitude
Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude
540 minutes of time difference = 135 degrees of longitude
Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.
Hence, the longitude of the current location = 135⁰
So the option 4 is correct.
To learn more about longitude link is here
brainly.com/question/30926134
#SPJ4
The complete question is:
Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?
1. 30° 18'W
2. 30° 16'W
3. 30° 17'W
4. none of the above
a rectangular flag is 29ft long and 17ft wide. if a triangle is cut out of the center of the flag that has a base of 9ft and a height of 2ft , what is the remaining area of the flag?
A rectangular flag is 29ft long and 17ft wide. if a triangle is cut out of the center of the flag that has a base of 9ft and a height of 2ft, So the remaining area of the flag is 484 ft².
The data we get from the question is,
Length of rectangular flag = 29 ft
Width of rectangular flag = 17 ft
Base of triangle = 9 ft
Height of triangle = 2 ft
We need to find the remaining area of the flag when a triangle is cut out of the center of the flag.
We know that the area of the rectangle is given by:
Area of rectangle = length × breadth
Area of rectangle = 29 × 17
= 493 ft²
The area of the triangle is given by:
Area of triangle = (1/2) × base × height
Area of triangle = (1/2) × 9 × 2
= 9 ft²
The remaining area of the flag will be the area of the rectangle minus the area of the triangle.
The remaining area of the flag = Area of the rectangle - Area of the triangle
= 493 - 9
= 484 ft²
Therefore, the remaining area of the flag is 484 ft².
Learn more about the area of the flag at: https://brainly.com/question/27160803
#SPJ11
What are the coordinates of point s after a dilation with the center at the origin and a scale factor of 12?
The new coordinates of point s after the dilation are (12x, 12y)
A dilation is a type of transformation that changes the size of an object. It can be thought of as a resizing or stretching of the object. In this case, we are dilating a point with a center at the origin (0,0) and a scale factor of 12.
The center of dilation is the point around which the dilation occurs. In this case, the center of dilation is the origin. This means that the point will be resized relative to the origin.
The scale factor is a number that determines the amount by which the object is resized. In this case, the scale factor is 12. This means that the point will be enlarged 12 times its original size.
To find the new coordinates of the point after the dilation, we multiply the original coordinates by the scale factor. Let the original coordinates of the point be (x, y). Then, the new coordinates of the point after the dilation are:
New x-coordinate = 12 × x
New y-coordinate = 12 × y
Learn more about dilation here
brainly.com/question/8765466
#SPJ4
Find f(2) if f(x) = (x + 1)2.If f(x) is a function and f(1) = 5, then which of the following could not be true?
The function that could not be true is , f(-1) = 4.option b, f(3) = 30 is not correct.
How to find the function?To find f(2), we simply substitute 2 for x in the function f(x):
[tex]f(2) = (2 + 1)^2 = 9[/tex]
Therefore,
[tex]f(2) = 9.[/tex]
Now, to determine which of the following statements could not be true if f(x) is a function and f(1) = 5, we need to check whether they violate any properties of functions. Here are the statements:
f(1) = 5
means that y = 5x
so when y = 1
x = 5
Therefore, option b, f(3) = 30 is not correct.
To know more about function here
https://brainly.com/question/11624077
#SPJ1
Complete question:
Find f(2) if f(x) = (x + 1)2.
If f(x) is a function and f(1) = 5, then which of the following could not be true?
f(10) = 50
f(3) = 30
f(2) = 10
f(7) = 35
Help please it’s urgent
The 0.05(x+4)+0.10(x) = $1.25 equation could be used to determine the number of dimes, x, in his pocket.
What is equation ?An equation is a mathematical expression containing an equal sign that states the equality of two expressions. It is essentially a statement of balance, showing that two expressions are equal in value. Equations are used to solve a wide variety of problems in mathematics, science, and engineering. For example, the equation x+2=4 expresses the fact that when 2 is added to any number x, the result is 4.
To learn more about equation
https://brainly.com/question/17145398
#SPJ1
Brayden deposited $990 into a saving account the unrest in the account was 5.7 if he leaves the money in the account for 5 years how much interest will the account occur?
Answer: $5232.15
Step-by-step explanation:
990 x 5.7% = 1046.43
1046.43 x 5 years = 5232.25
Need help with this question. 10 Points!!!!!
Step-by-step explanation:
Since the three horizontal lines are parallel, you can set up a simple ratio:
71 is to 79 as x is to 81
71/79 = x/81
x = 71/79 * 81 = 73 units ( rounded to two S.D.)
: 2 points Which of the following is NOT an example of a human activity that directly threatens the biodiversity of species? o the picking of flowers o the overexploitation of resources o the introduction of invasive species o the destruction of habitats o the burning of fossils fuels Previous
The destruction of habitats, such as deforestation, can also have a direct impact on the populations of species that rely on those habitats for survival.
The burning of fossil fuels is not an example of a human activity that directly threatens the biodiversity of species. While burning fossil fuels can contribute to climate change, which can have indirect impacts on biodiversity, such as changing habitats or altering migration patterns, it is not a direct threat to individual species or their populations.
On the other hand, the picking of flowers, overexploitation of resources, introduction of invasive species, and destruction of habitats are all examples of human activities that directly threaten the biodiversity of species. For example, overexploitation of resources such as fishing can lead to the depletion of fish populations, while the introduction of invasive species can outcompete and displace native species. The destruction of habitats, such as deforestation, can also have a direct impact on the populations of species that rely on those habitats for survival.
To learn more about fossil fuels visit: https://brainly.com/question/3371055
#SPJ11
below is a 20-sided die: each side has a different number on it (from 1-20). if you throw the die, what is the chance that the top side will be either a 9 or a 10?
Chance is 1/10
Given that the die has 20 different numbers, ranging from 1-20, we are to determine the chance that the top side will be either a 9 or a 10.When throwing a die with a different number of faces or sides, each face has an equal chance of showing up as the top side. Thus, to determine the chance that the top side will be either a 9 or a 10, we need to find the probability of rolling a 9 or 10.To calculate the probability of a single event occurring, we divide the number of favorable outcomes by the total number of possible outcomes. Thus, in this case, the probability of rolling a 9 or a 10 would be:Probability of rolling a 9 or a 10= number of favorable outcomes/ total number of possible outcomesNumber of favorable outcomes: 2 (since there are only 2 sides of the die that have a 9 or a 10)Total number of possible outcomes: 20 (since there are 20 different numbers on the die)Probability of rolling a 9 or a 10 = 2/20 = 1/10Therefore, the chance that the top side will be either a 9 or a 10 is 1/10.
Learn more about Probability
brainly.com/question/30034780
#SPJ11
Pls help keep it simple
Opioids are a class of drugs that include both prescription painkillers, such as oxycodone, hydrocodone, and fentanyl, and illegal drugs, such as heroin.
What are opioids?Opioids are highly addictive and can lead to physical dependence and addiction with prolonged use. They can also cause a range of negative side effects, including drowsiness, confusion, constipation, nausea, and respiratory depression, which can be life-threatening in high doses.
Opioid addiction has become a major public health crisis in many countries, including the United States, where it has been linked to a dramatic increase in overdose deaths.
The numbers that match the phrases are;
1 - j
2 - c
3 - b
4 - a
5 - i
6 - d
7 - e
8 - f
9 - j
10 - h
Learn more about opioids:https://brainly.com/question/31021625
#SPJ1
Each dot in the following dot plot represents the height of one toddler at Mrs. Orlando's daycare.
Find the interquartile range (IQR) of the data in the dot plot.
Answer: 1.5
Step-by-step explanation:
The interquartile range (IQR) is a measure of statistical dispersion and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). For the given dot plot data of the toddler's heights, the data would first be arranged in ascending order, then divided into two halves below and above the median to determine the first and third quartiles.
Explanation:To find the interquartile range (IQR) in the dot plot data of the toddler's heights at Mrs. Orlando's daycare, we first need to understand what the IQR represents. The Interquartile Range is a measure of where the bulk of the values lie in a data set. It's computed by subtracting the first quartile (Q1) from the third quartile (Q3).
As a first step, you would arrange the data points in ascending order. The median would give us the second quartile (Q2). The data set is then divided into two halves, below and above the median. The first quartile (Q1) is the median of the lower half and the third quartile (Q3) is the median of the upper half. Finally, subtract Q1 from Q3 to find the IQR.
Learn more about Interquartile Range here:https://brainly.com/question/37229455
#SPJ2
Jonshon attempted 73 shots and made 34 while clarence attempted 52 and made 28. Which player has the high scoring percentage?
Johnson has a scoring percentage of 46.57% while Clarence has a scoring percentage of 53.84%. Clarence has the higher scoring percentage.
A percentage is a way of expressing a number as a fraction of 100. It is often used to represent a part of a whole or a comparison between two quantities.
To calculate the scoring percentage, we divide the number of shots made by the number of shots attempted and then multiply by 100. For Johnson, the scoring percentage is
(34/73)*100 = 46.57%.For Clarence, the scoring percentage is
(28/52)*100 = 53.84%.Therefore, Clarence has the higher scoring percentage.
Learn more about Percentage:
https://brainly.com/question/24877689
#SPJ4
a certain population of bacteria doubles every 3 weeks. the number of bacteria in the population is now 100. find its size in a. 6 weeks b. 15 weeks
After 6 weeks, the size of the bacteria is 1600, and after 15 weeks, the size of the bacteria is 12800
Let N₀ be the initial number of bacteria in a population and r be the growth rate of the bacteria.
The doubling time t doubles the population after each time interval t, hence:
Nt = N₀ × 2^(t/t) Nₜ
= N₀ × 2^(t/d)Nt/N₀
= 2^(t/d)ln(Nₜ/N₀)
= (t/d)ln2ln(Nₜ) - ln(N₀)
= (t/d)ln2ln(Nₜ/N₀)
= (t/d)ln2t/d
= ln(Nt/N₀) / ln2
Now, we can calculate the time required for the population to double in size as
t = d × ln2/ln(Nₜ/N₀)
Now, let's substitute the values given and solve:
a) After 6 weeks, t = 3 weeks (since doubling time is 3 weeks)
So, Nₜ/N₀ = 2^(t/d)
= 2^(6/3)
= 2^2 = 4
Nt = N₀ × 4
= 100 × 4
= 400.
After 6 weeks, the size of the bacteria is 400.
b) After 15 weeks,
t = d × ln2/ln(Nₜ/N₀)ₜ
= 3 × ln2/ln(128)
= 3 × 0.9983/7.1554
= 0.4186 weeks
So, Nₜ/N₀ = 2^(t/d)
= 2^(15/3)
= 2^5
= 32Nₜ
= N₀ × 32 = 100 × 32
= 3200
After 15 weeks, the size of the bacteria is 3200.
To know more about doubling time, refer here:
https://brainly.com/question/27314121#
#SPJ11
A book has c pages, and a second book has d pages. How many days will it take Ivan to read both books if he reads eight pages per day?
To calculate the number of days it will take Ivan to read both books, we need to divide the total number of pages by the number of pages Ivan can read per day.
The first book has c pages, and the second book has d pages, so the total number of pages is c + d. If Ivan reads eight pages per day, then he will read a total of 8[tex]*[/tex]n pages in n days. Therefore, the number of days it will take Ivan to read both books can be calculated as: n = (c + d) / 8
This formula tells us that we need to divide the total number of pages by the number of pages Ivan can read per day, which is eight. The result of this division will give us the number of days it will take Ivan to read both books.
For example, if the first book has 100 pages and the second book has 200 pages, then the total number of pages is 300. plugging this into the formula, we get: n = (100 + 200) / 8 = 37.5 Since Ivan can't read a fraction of a day, we round up to the nearest whole number. Therefore, it will take Ivan 38 days to read both books.
Learn more about whole number here:
https://brainly.com/question/29766862
#SPJ4
Give a counterexample
for the following
conjecture: "an odd number plus another odd
number will always be divisible by 4".
13.
5 and 25
Step-by-step explanation:A single counterexample to any conjecture that states that something will always be true immediately disproves the statement.
Conjecture
Conjecture is a statement or conclusion that is offered with little to no proof. The conclusion given in the question has no mathematical proof to support the idea; thus, it is conjecture. Conjecture is often easy to disprove.
Counterexamples are examples that follow the conditions of a statement (or conjecture) but do not meet the same conclusion. The conditions of the conjecture given are "an odd number plus another odd number". So, a counterexample must also meet these conditions. The conclusion of the conjecture is that this sum " will always be divisible by 4". Thus, the counterexample should not be divisible by 4.
Counterexample
At first, the conjecture may seem to be true because of pairs like 13+15 or 21+23. However, because the conjecture includes the word "always", it only takes one counterexample to completely disprove the statement.
I know that 30 is not divisible by 4, so I can find 2 odd numbers that sum to 30. I pair I chose was 5+25, but there are other possibilities like 13+17 or 1+29. No matter which you choose, it's clear that the conjecture is not true.
Four cities recorded the temperature at midnight.
*Delway’s temperature was –8°C.
*Hickory’s temperature was –10°C.
*Midway’s temperature was –2°C.
*Ridgemonte’s temperature was 3°C.
Which list shows the cities in order from warmest to coldest?
A Delway, Hickory, Midway, Ridgemonte
B Hickory, Delway, Midway, Ridgemonte
C Midway, Ridgemonte, Hickory, Delway
D Ridgemonte, Midway, Delway, Hickory
Ezra started collecting lunch boxes when he was 5 years old. He had 26 superhero lunch boxes, 15 outer space lunch boxes, and 17 rock band lunch boxes. Then Ezra's cousin started her own lunch box collection. Ezra wanted to help her get started, so he gave his cousin 19 lunch boxes from his collection. How many lunch boxes does Ezra have left in his collection? lunch boxes
Answer:
he has 39 lunch boxes left
Step-by-step explanation:
26 + 15 + 17 gives you 58 and when you subtract 19 from 58 that leaves you with 39 left
the vertices of a triangle are A(8,-24) B(8,-8) C(16,-8). If the triangle is dilated by a scale factor of 1/4 what will be the coordinates of C
After the triangle is dilated by a scale factor of 1/4, the coordinates of point C' are (10, -14).
How to find the coordinates ?We can use the following formula to find the coordinates of point C' after the triangle has been dilated by a scale factor of 1/4:
C' = (1/4)(C - center) + center
where C denotes the original coordinate of point C and centre denotes the dilation center (which is not specified in the problem).
However, because this is the most common choice and is not explicitly stated, we can assume that the center of dilation is the midpoint of line segment AB. Line segment AB's midpoint is:
((8+8)/2, (-24-8)/2) = (8, -16)
So, in the formula, we can substitute this value for Centre:
C' = (1/4)(C - (8, -16)) + (8, -16)
All that remains is to plug in the coordinates of point C and simplify:
C' = (1/4)((16, -8) - (8, -16)) + (8, -16)
= (1/4)(8, 8) + (8, -16)
= (2, 2) + (8, -16)
= (10, -14)
As a result, the coordinates of point C' after the triangle has been dilated by a factor of 1/4 are (10, -14).
To know more about coordinates visit:-
https://brainly.com/question/16634867
#SPJ9
help pls its too much
Answer:
24.13
Step-by-step explanation:
1) |x-1| + |x-2| = -3
2) |x-1| + |x-2| = 3
The equation given as |x-1| + |x-2| = -3 has no solution while the solutions of |x-1| + |x-2| = 3 are x = 0 and x = 3
Calculating the solution to the equationGiven that
|x-1| + |x-2| = -3
The above equation has the sum of absolute expressions
As a general rule, the sum of absolute expressions is always positive
The solution -3 is negative
So, the equation has no solution
On the other hand, we have
|x-1| + |x-2| = 3
Assume x = 0, we have
|0-1| + |0-2| = 3
1 + 2 = 3 --- true
Assume x = 3, we have
|3-1| + |3-2| = 3
2 + 1 = 3 --- true
Hence, the solutions of |x-1| + |x-2| = 3 are x = 0 and x = 3
Read more about equations at
https://brainly.com/question/13729904
#SPJ1
Think of a time when you had a question in math class, did you ask it? If so, did it get answered? If you tend to not ask your questions, why do you think you hesitate to ask? Have you ever had someone else ask the same question you had? How did it make you feel? Relief?
Answer:
Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.
Find the missing dimension of the triangle.
1.5 in
Area = 2 in²
pls help I'll mark brainlisest
Answer:
Fraction form:
[tex]\text{h} = \dfrac{4}{1.5} \ \text{in}[/tex]
Decimal form:
[tex]2.667 \ \text{in}[/tex]
Step-by-step explanation:
I've attached the work below
The formula use is usually use to find the area of a triangle but allowed us to work backward after inputting given values
Hope it helps, Let me know if you have any more questions/concerns.
please help solve the math problems
The answer of the given question based on the linear function the answer is option b) g(x) = 3x + 8 is linear and for linear function graph the explanation is given below,
What is Function?In mathematics, function is relationship between two sets of values, where each element in first set (called domain) is paired with exactly one element in the second set (called range).
1) Among the given functions, only g(x) = 3x + 8 is linear. A linear function is one whose graph is a straight line, and it has the form f(x) = mx + b, where m is the slope of the line and b is the y-intercept.
The function f(x) = x²+2x-3 is a quadratic function because its graph is a parabola, not a straight line. Similarly, the function h(x) = 4 is a constant function because its graph is a horizontal line with a constant y-value of 4, not a straight line.
2) To graph the function f(x) = 2x - 7, we can first identify its slope and y-intercept. The slope of the line is 2, which means that for every increase of 1 in x, the value of y increases by 2. The y-intercept is -7, which means that the line crosses the y-axis at the point (0, -7).
Using this information, we can plot the y-intercept at (0, -7) and then use the slope to find other points on the line. For example, if we increase x by 1, y will increase by 2, so we can plot the point (1, -5). We can continue this process to find other points on the line, and then draw a straight line through them to graph the function.
To graph the function f(x) = -2/5x+1, we can follow the same process. The slope of the line is -2/5, which means that for every increase of 1 in x, the value of y decreases by 2/5. The y-intercept is 1, so the line crosses the y-axis at the point (0, 1).
Using this information, we can plot the y-intercept at (0, 1) and then use the slope to find other points on the line. For example, if we increase x by 5, y will decrease by 2, so we can plot the point (5, -1). We can continue this process to find other points on the line, and then draw a straight line through them to graph the function.
To know more about Slope visit:
https://brainly.com/question/29184253
#SPJ1
2 cards are selected from a standard deck of 52 cards. (don't know about playing cards? click here.) the first card is not placed back in the deck before the second card is drawn. match the probabilities to their corresponding situations. question 4 options: 3 p(spade and ace of hearts) 4 p(2 aces) p(2 of the same card) 2 p(red card and four of spades) 1 p(heart and club) 1. 13/204 2. 1/102 3. 1/204 4. 1/221 5. 0
Hence, the correct match of probabilities with their corresponding situations is given by option 4.
To match the probabilities with their corresponding situations, we can utilize the formulas given below:
[tex]P(A ∩ B) = P(A) x P(B|A)P[/tex](2 aces) =[tex](4/52) x (3/51) = 1/221[/tex]
P(heart and club) =[tex](13/52) x (13/51) = 169/2652[/tex]P(spade and ace of hearts) = 0P(2 of the same card) = (1/52) + (3/51) + (2/50) + (1/49) + (4/48) + (3/47) + (2/46) + (1/45) = 20/663P(red card and four of spades) = (16/52) x (1/51) = 4/663
Therefore, the probabilities with their corresponding situations are:3: P(spade and ace of hearts) = 0 (Not possible as Ace of hearts is not spade)
4: P(2 aces) = 1/2211: P(heart and club) = 169/26521: P(heart and club) = 169/26522: P(red card and four of spades) = 4/663
for such more questions on probabilities
https://brainly.com/question/13604758
#SPJ11